• Title/Summary/Keyword: Taylor-series

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Performance analysis and quality control of serial production lines

  • Han, Man-Soo;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.259-262
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    • 1995
  • In this paper, a model of an asymptotically reliable serial production line with quailty control devices is introduced and analyzed. By an asymptotic technique and Taylor series expansion, its average production rate is approximated in a closed form. The results are applied to a case study of a surface mount system.

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Controller development for an EMS using nonlinear feedback linearization (비선형 궤환 선형화를 사용한 자기부상 열차의 제어기 개발)

  • 서진헌;진주화
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.669-674
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    • 1990
  • A nonlinear feedback linearizing control method for a EMS(Electro Magnetic Suspension) system is proposed. After linearizing the system using the exact linearizing method, conventional linear system control theory has been applied. Computer simulations are carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Performance Analysis of DS-CDMA Signal through MZ Modulator in optical SCM Signal Transmission (광 SCM 전송방식에서 MZ 변조기를 통과한 DS-CDMA 신호의 성능분석)

  • 김회준;임명섭
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.77-80
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    • 2001
  • In this paper, it is analyzed the statistical characteristics on the transmission performance of the optical SCM transmission in the CDMA RF signal relay system. Using Mach-Zehnder modulator, optical signal is regenerated into CDMA RF signal. Transfer function model of mach-Zehnder modulator is approximated to the third power of the input signal using Taylor series. BER results are analyzed under the multiple access interference and multi-path fading environment.

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Inverse Design For a Airfoil Using Optimizing Method (최적화기법을 이용한 익형의 역설계)

  • Kim Jong-seub;Park Warn-gyu
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.126-130
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    • 1997
  • A new and efficient method is presented for design optimization, which is based on a computational fluid dynamics (CFD). The method is applied to design an airfoil configuration. The Navier-Stokes equations are solved for the viscous analysis of the flow, which provides the object function. The CFD analysis is then coupled with the optimization procedure that used a conjugate gradient method. During the one-dimensional search of the optimization procedure, an approximate flow analysis based on a first-order Taylor series expansion is used to reduce the computational cost, (This study is supported by Korean Ministry of Education through Research Fund)

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A New Algorithm for Recursive Short-term Load Forecasting (순환형식에 의한 기분거좌상측 알고리)

  • Young-Moon Park;Sung-Chul Oh
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.5
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    • pp.183-188
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    • 1983
  • This paper deals with short-term load forecasting. The load model is represented by the state variable form to exploit the Kalman filter technique. The load model is derived from Taylor series expansion and remainder term is considered as noise term. In order to solve recursive filter form, among various algorithm of solving Kalman filter, this paper uses exponential data weighting technique. This paper also deals with the asymptotic stability of filter. Case studies are carried out for the hourly power demand forecasting of the Korea electrical system.

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Controller Development for a Single-Magnet Suspension System Using Nonlinear Feedback Linearization (비선형궤환 선형화 기법을 사용한 단일 자석 자기부상 시스템의 제어기 개발)

  • 진주화;서진헌;김국헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.3
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    • pp.292-299
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    • 1992
  • A nonlinear feedback linearizing control method for an EMS (Electro-Magnetic Suspension) system is proposed. After linearzing the system using the exact linearizing method, conventional linear system control theory has been applied. Robustness properties of the proposed controller with respect to the load variations is also analysed for a single magnet suspension system. Computer simulation is carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Design of a Floating Point Processor for Nonlinear Functions on an Embedded FPGA (비선형 함수 연산을 위한 FPGA 기반의 부동 소수점 프로세서의 설계)

  • Kim, Jeong-Seob;Jung, Seul
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.74-76
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    • 2007
  • This paper presents the hardware design of a 32bit floating point based processor. The processor can perform nonlinear functions such as sinusoidal functions, exponential functions, and other nonlinear functions. Using the Taylor series and the Newton - Raphson method, nonlinear functions are approximated. The processor is actually embedded on an FPGA chip and tested. The numerical accuracy of the functions is compared with those computed by the MATLAB.

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ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF GENERAL SUBCLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER INVOLVING SUBORDINATION

  • Altinkaya, Sahsene;Yalcin, Sibel
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.391-400
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    • 2018
  • The object of this paper to construct a new class $$A^m_{{\mu},{\lambda},{\delta}}({\alpha},{\beta},{\gamma},t,{\Psi})$$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.

Estimation for the extreme value distribution under progressive Type-I interval censoring

  • Nam, Sol-Ji;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.643-653
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    • 2014
  • In this paper, we propose some estimators for the extreme value distribution based on the interval method and mid-point approximation method from the progressive Type-I interval censored sample. Because log-likelihood function is a non-linear function, we use a Taylor series expansion to derive approximate likelihood equations. We compare the proposed estimators in terms of the mean squared error by using the Monte Carlo simulation.

CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SYMMETRIC q-DERIVATIVE OPERATOR

  • Jae Ho Choi
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.647-657
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    • 2023
  • The aim of this paper is to study certain subclass ${\tilde{S^q_{\Sigma}}}({\lambda},\,{\alpha},\,t,\,s,\,p,\,b)$ of analytic and bi-univalent functions which are defined by using symmetric q-derivative operator. We estimate the second and third coefficients of the Taylor-Maclaurin series expansions belonging to the subclass and upper bounds for Feketo-Szegö inequality. Furthermore, some relevant connections of certain special cases of the main results with those in several earlier works are also pointed out.